Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method

DOI10.1007/S10958-013-1219-7zbMath1267.93155OpenAlexW2051283861MaRDI QIDQ354839

Svyatoslav S. Pavlichkov, Korobov, V. I., Werner H. Schmidt

Publication date: 22 July 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/175596

zbMATH Keywords

triangular systemscontrollability function methodglobal constructionglobal positional synthesisstabilization in finite time

Mathematics Subject Classification ID

Controllability (93B05) Multivariable systems, multidimensional control systems (93C35) Adaptive or robust stabilization (93D21) Synthesis problems (93B50)

Related Items (2)

Free-will arbitrary time stabilisation problem for a class of nonlinear strict-feedback systems based on the backstepping method ⋮ Almost linearizable control systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Partial-state global stabilization for general triangular systems
• Finite time stability and stabilization of a class of continuous systems
• Exponential stabilization of nonlinear stochastic systems
• A theorem on global stabilization of nonlinear systems by linear feedback
• Constructive nonsmooth stabilization of triangular systems
• Equivalence of nonlinear systems to triangular form: the singular case
• Triangular systems: A global extension of the Coron-Praly theorem on the existence of feedback-integrator stabilisers
• Global properties of the triangular systems in the singular case
• On the extension of the korobov's class of linearizable triangular systems by nonlinear control systems of the class \(C^{1}\)
• Global robust controllability of the triangular integro-differential Volterra systems
• Global finite-time stabilization of a class of uncertain nonlinear systems
• Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design
• A model reference adaptive control scheme for pure-feedback nonlinear systems
• Continuous finite-time stabilization of the translational and rotational double integrators
• Global Stabilization of the Generalized MIMO Triangular Systems With Singular Input-Output Links
• Global Stabilization of Partially Linear Composite Systems

This page was built for publication: Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method